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Finding the Third Proportional to 193,288 and 392,040

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Solution

The third proportional to 193,288 and 392,040 is: 795,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,288 : 392,040 = 392,040 : x
  2. Step 2: Convert to fraction form
    193,288/392,040 = 392,040/x
  3. Step 3: Cross multiply
    193,288x = 392,040 × 392,040
  4. Step 4: Simplify right side
    193,288x = 153,695,361,600
  5. Step 5: Solve for x
    x = 153,695,361,600/193,288
  6. Step 6: Final answer
    x = 795,162.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.